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41200201112200 = 23521393411696417
BaseRepresentation
bin10010101111000101010110…
…10110100001101010001000
312101212200220212001200100221
421113202223112201222020
520400011002441042300
6223343035555235424
711451421251135514
oct1127425326415210
9171780825050327
1041200201112200
11121449a8493799
124754a5bba8b74
1319cb215738a70
14a261595d5144
154b6aa23d131a
hex2578ab5a1a88

41200201112200 has 96 divisors (see below), whose sum is σ = 103170069583560. Its totient is φ = 15210744422400.

The previous prime is 41200201112137. The next prime is 41200201112281. The reversal of 41200201112200 is 221110200214.

It can be written as a sum of positive squares in 12 ways, for example, as 113357462596 + 41086843649604 = 336686^2 + 6409902^2 .

It is a super-2 number, since 2×412002011122002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23438392 + ... + 25134808.

Almost surely, 241200201112200 is an apocalyptic number.

41200201112200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41200201112200 is an abundant number, since it is smaller than the sum of its proper divisors (61969868471360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41200201112200 is a wasteful number, since it uses less digits than its factorization.

41200201112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705787 (or 1705778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 41200201112200 its reverse (221110200214), we get a palindrome (41421311312414).

The spelling of 41200201112200 in words is "forty-one trillion, two hundred billion, two hundred one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 9341 18682 37364 46705 74728 93410 121433 186820 233525 242866 373640 467050 485732 607165 934100 971464 1214330 1696417 1868200 2428660 3035825 3392834 4857320 6071650 6785668 8482085 12143300 13571336 16964170 22053421 24286600 33928340 42410425 44106842 67856680 84820850 88213684 110267105 169641700 176427368 220534210 339283400 441068420 551335525 882136840 1102671050 2205342100 4410684200 15846231197 31692462394 63384924788 79231155985 126769849576 158462311970 206001005561 316924623940 396155779925 412002011122 633849247880 792311559850 824004022244 1030005027805 1584623119700 1648008044488 2060010055610 3169246239400 4120020111220 5150025139025 8240040222440 10300050278050 20600100556100 41200201112200